Projective duality and non-degenerated symplectic Monge–Ampère equations
Volume 117 / 2019
Banach Center Publications 117 (2019), 113-144
MSC: Primary 14N05, 14M17; Secondary 32W20.
DOI: 10.4064/bc117-4
Abstract
The aim of these notes is to introduce the basic notions of projective duality and of secant varieties in order to provide a firm background to the geometrical counterpart of the main results by Doubrov and Ferapontov [J. Geom. Phys. 60 (2010), 1604–1616] and Ferapontov, Hadjikos and Khusnutdinova [Int. Math. Res. Not. IMRN 2010, 496–535] on the integrability of non-degenerate symplectic Monge–Ampère equations